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Finding the Fourth Proportional to 15,138.61, 20,890.65 and 8,424.52

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Solution

The fourth proportional to 15,138.61, 20,890.65 and 8,424.52 is: 11,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.61 : 20,890.65 = 8,424.52 : x
  2. Step 2: Convert to fraction form
    15,138.61/20,890.65 = 8,424.52/x
  3. Step 3: Cross multiply
    15,138.61x = 20,890.65 × 8,424.52
  4. Step 4: Simplify right side
    15,138.61x = 175,993,698.74
  5. Step 5: Solve for x
    x = 175,993,698.74/15,138.61
  6. Step 6: Final answer
    x = 11,625.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.